Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197201	Solve the Inequality for x	1/x>=1/(x+3)	$\frac{1}{x} \geq \frac{1}{x + 3}$
197202	Simplify	3x^2-4x-5x^2+8x	$3 x^{2} - 4 x - 5 x^{2} + 8 x$
197203	Solve the System of Equations	y=x^2+10x y=x-8	$y = x^{2} + 10 x$ $y = x - 8$
197204	Simplify	square root of (n^-4)/(n^-5)	$\sqrt{\frac{n^{- 4}}{n^{- 5}}}$
197205	Simplify	((5a^3b^-2)^4)/((5a^-4b^-5)^-2)	$\frac{{(5 a^{3} b^{- 2})}^{4}}{{(5 a^{- 4} b^{- 5})}^{- 2}}$
197206	Simplify	x/(x square root of 3)	$\frac{x}{x \sqrt{3}}$
197207	Solve the Absolute Value Inequality for x	3\|2x+5\|=9x-6	$3 \| 2 x + 5 \| = 9 x - 6$
197208	Find f(g(x))	f(x) = square root of x and g(x)=x-6	$f (x) = \sqrt{x}$ and $g (x) = x - 6$
197209	Simplify	7b-(3a-8b)	$7 b - (3 a - 8 b)$
197210	Solve for F	S=3F-24 Solve for F	$S = 3 F - 24$ Solve for $F$
197211	Solve for a	0.1a=0.01a	$0.1 a = 0.01 a$
197212	Simplify	x^11*(x^4)^-3	$x^{11} \cdot {(x^{4})}^{- 3}$
197213	Factor by Grouping	16x^2-16xy^3+4y^6	$16 x^{2} - 16 x y^{3} + 4 y^{6}$
197214	Solve for t	1/2+2/5t-1=1/5t+t	$\frac{1}{2} + \frac{2}{5} t - 1 = \frac{1}{5} t + t$
197215	Find the Excluded Values	(x^2-8x+12)/(x^2-x-30)*(x^2-25)/(x^2-4)	$\frac{x^{2} - 8 x + 12}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 4}$
197216	Solve the Inequality for n	2/3n>-12	$\frac{2}{3} n > - 12$
197217	Solve for x	5/(x+3)-x/(3-x)=3/(x-3)	$\frac{5}{x + 3} - \frac{x}{3 - x} = \frac{3}{x - 3}$
197218	Plot	y<2x^2+3x-5	$y < 2 x^{2} + 3 x - 5$
197219	Solve the Inequality for x	4x-2y<=8	$4 x - 2 y \leq 8$
197220	Evaluate	54+ cube root of -4096	$54 + \sqrt[3]{- 4096}$
197221	Simplify	3/2+(-6/5)	$\frac{3}{2} + (- \frac{6}{5})$
197222	Solve for x	x-3/8=1/2	$x - \frac{3}{8} = \frac{1}{2}$
197223	Write in Slope-Intercept Form	x-2y<6	$x - 2 y < 6$
197224	Simplify	(a^2+6a)/(a+3)+9/(a+3)	$\frac{a^{2} + 6 a}{a + 3} + \frac{9}{a + 3}$
197225	Graph	y+3=f(x)	$y + 3 = f (x)$
197226	Find the Domain and Range	y=(x+1)	$y = (x + 1)$
197227	Factor	25d^2f^7-9c^6f^7	$25 d^{2} f^{7} - 9 c^{6} f^{7}$
197228	Simplify	(2x)/3+(x+1)/(x-2)	$\frac{2 x}{3} + \frac{x + 1}{x - 2}$
197229	Solve for r	\|r+2\|=\|3r-4\|	$\| r + 2 \| = \| 3 r - 4 \|$
197230	Graph	f(x)=(3(x-3))/(2(x+1))	$f (x) = \frac{3 (x - 3)}{2 (x + 1)}$
197231	Evaluate	-4/(2^2)	$- \frac{4}{2^{2}}$
197232	Evaluate	1/3(27)^(-2/3)	$\frac{1}{3} {(27)}^{- \frac{2}{3}}$
197233	Solve the Inequality for x	1<=x+6(x+1)-5/2	$1 \leq x + 6 (x + 1) - \frac{5}{2}$
197234	Evaluate	11+(-7)^2-9	$11 + {(- 7)}^{2} - 9$
197235	Solve for x	(2x-3)^2-(x+5)^2=-23	${(2 x - 3)}^{2} - {(x + 5)}^{2} = - 23$
197236	Simplify	x/(x^2-64)-7/(4x^2+32x)	$\frac{x}{x^{2} - 64} - \frac{7}{4 x^{2} + 32 x}$
197237	Combine Like Terms	11g-9g+8g	$11 g - 9 g + 8 g$
197238	Solve for x	5-1/2(x-6)=4	$5 - \frac{1}{2} (x - 6) = 4$
197239	Evaluate	(2x^2+7x-4)+(-10x-4)	$(2 x^{2} + 7 x - 4) + (- 10 x - 4)$
197240	Solve for x	f(-1)=2x^2-x-1	$f (- 1) = 2 x^{2} - x - 1$
197241	Find the Exact Value	(1/2+1/6)/(1/4+1/3)	$\frac{\frac{1}{2} + \frac{1}{6}}{\frac{1}{4} + \frac{1}{3}}$
197242	Factor	8x^4+6x^2-2	$8 x^{4} + 6 x^{2} - 2$
197243	Solve for p	7p-(3p+4)=-2(2p-1)+10	$7 p - (3 p + 4) = - 2 (2 p - 1) + 10$
197244	Evaluate	(-4x^2-2x-6)-(-7x^2-2x-2)	$(- 4 x^{2} - 2 x - 6) - (- 7 x^{2} - 2 x - 2)$
197245	Solve for B	V=1/3Bh ; for B	$V = \frac{1}{3} B h$ ; for $B$
197246	Graph	y+4<-2(x-4)	$y + 4 < - 2 (x - 4)$
197247	Solve for x	(2x)/(4pi)+(1-x)/2=0	$\frac{2 x}{4 π} + \frac{1 - x}{2} = 0$
197248	Graph	-x/4<=2	$- \frac{x}{4} \leq 2$
197249	Convert to Interval Notation	x^2-8x>=-2	$x^{2} - 8 x \geq - 2$
197250	Divide	a/a	$\frac{a}{a}$
197251	Solve Using the Quadratic Formula	x^2+9x+14>0	$x^{2} + 9 x + 14 > 0$
197252	Graph	5+8x<3(2x+4)	$5 + 8 x < 3 (2 x + 4)$
197253	Solve for x	x/(x+5)-2/(x-5)=(2x)/(x^2-25)	$\frac{x}{x + 5} - \frac{2}{x - 5} = \frac{2 x}{x^{2} - 25}$
197254	Evaluate	2x+3y=5x-y	$2 x + 3 y = 5 x - y$
197255	Graph Using a Table of Values	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
197256	Graph	f(x)=y=-2(x-1)^2	$f (x) = y = - 2 {(x - 1)}^{2}$
197257	Solve the Inequality for y	-x+3y>6	$- x + 3 y > 6$
197258	Evaluate	-36÷(2^2)+5	$- 36 \div 2^{2} + 5$
197259	Simplify	( square root of 108)/3+ square root of 75	$\frac{\sqrt{108}}{3} + \sqrt{75}$
197260	Solve the System of Inequalities	-1>x or x>5	$- 1 > x$ or $x > 5$
197261	Solve the Inequality for x	2x-6>=6(x-2)+8 ?	$2 x - 6 \geq 6 (x - 2) + 8$ ?
197262	Simplify the Radical Expression	5/( square root of 5)	$\frac{5}{\sqrt{5}}$
197263	Graph	f(x) = log base 4 of -x+7-6	$f (x) = \log_{4} (- x + 7) - 6$
197264	Graph	2x-6>=6(x-2)+8 ?	$2 x - 6 \geq 6 (x - 2) + 8$ ?
197265	Solve for x	2x<-3x+15	$2 x < - 3 x + 15$
197266	Solve for x	2x-y=y	$2 x - y = y$
197267	Solve for y	y^2=9-x^2	$y^{2} = 9 - x^{2}$
197268	Solve the Absolute Value Inequality for k	\|2k+3\|=7	$\| 2 k + 3 \| = 7$
197269	Simplify/Condense	2 log base 5 of 3-1/3 log base 5 of 64+ log base 5 of 16	$2 \log_{5} (3) - \frac{1}{3} \log_{5} (64) + \log_{5} (16)$
197270	Graph	\|x\|>3/2	$\| x \| > \frac{3}{2}$
197271	Divide	(1/5)÷(2/6)	$\frac{1}{5} \div \frac{2}{6}$
197272	Solve for a	a^2-b^2=(a+b)(a-b)	$a^{2} - b^{2} = (a + b) (a - b)$
197273	Simplify	a/4+b/8	$\frac{a}{4} + \frac{b}{8}$
197274	Expand Using Pascal's Triangle	(2x^3+3y^2)^7	${(2 x^{3} + 3 y^{2})}^{7}$
197275	Find f(g(x))	f(x)=x^2 , g(x) = square root of 1-x^2	$f (x) = x^{2}$ , $g (x) = \sqrt{1 - x^{2}}$
197276	Write in Standard Form	3.82e+7	$3.82 e + 7$
197277	Multiply	(a^3-a+a^2)(a-1)	$(a^{3} - a + a^{2}) (a - 1)$
197278	Divide	(6x^3+2x^2+3x-4)÷(x^2+3x+4)	$(6 x^{3} + 2 x^{2} + 3 x - 4) \div (x^{2} + 3 x + 4)$
197279	Find the Perfect Square Trinomial	x^2+4xy+4y^2	$x^{2} + 4 x y + 4 y^{2}$
197280	Find f(g(x))	f(x)=(x-1)/(x^2+x-1) g(x)=3^x-2	$f (x) = \frac{x - 1}{x^{2} + x - 1}$ $g (x) = 3^{x} - 2$
197281	Solve for x	(x-9)/15=(2x-9)/10	$\frac{x - 9}{15} = \frac{2 x - 9}{10}$
197282	Find the Inverse	f(x)=((x-3)/8)^(1/3)	$f (x) = {(\frac{x - 3}{8})}^{\frac{1}{3}}$
197283	Solve for m	4m-5<m+2	$4 m - 5 < m + 2$
197284	Find the Perfect Square Trinomial	n^2-(4n)/3	$n^{2} - \frac{4 n}{3}$
197285	Evaluate	4+(27-12*2)÷2	$4 + (27 - 12 \cdot 2) \div 2$
197286	Evaluate	(2(1/2)^2)/((1/2)^2-1)	$\frac{2 {(\frac{1}{2})}^{2}}{{(\frac{1}{2})}^{2} - 1}$
197287	Solve for x	(2x)/(3x-10)=(x-8)/(x-5)	$\frac{2 x}{3 x - 10} = \frac{x - 8}{x - 5}$
197288	Solve for k	\|2k+6\|=\|k\|	$\| 2 k + 6 \| = \| k \|$
197289	Solve for x	6/x-2/(x+3)=(3(x+5))/(x^2+3x)	$\frac{6}{x} - \frac{2}{x + 3} = \frac{3 (x + 5)}{x^{2} + 3 x}$
197290	Find f(g(x))	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
197291	Evaluate	sixth root of 64(x^2-3)^18	$\sqrt[6]{64 {(x^{2} - 3)}^{18}}$
197292	Graph	y = square root of -x-1-2	$y = \sqrt{- x - 1} - 2$
197293	Graph	f(x)=x^4+x^3-10x^2+10	$f (x) = x^{4} + x^{3} - 10 x^{2} + 10$
197294	Find All Complex Solutions	square root of 3sin(x)sec(x)=2sin(x)	$\sqrt{3} \sin (x) \sec (x) = 2 \sin (x)$
197295	Simplify	-(8a-6b-c)+(2a+8b+c)	$- (8 a - 6 b - c) + (2 a + 8 b + c)$
197296	Convert to Interval Notation	x<=-45 or x>86	$x \leq - 45$ or $x > 86$
197297	Solve for x	(x-6)/x+(x-5)/(x+7)=(2x-12)/x	$\frac{x - 6}{x} + \frac{x - 5}{x + 7} = \frac{2 x - 12}{x}$
197298	Simplify	(x+2)/(3(x+1))*(9(x-1))/(x+2)	$\frac{x + 2}{3 (x + 1)} \cdot \frac{9 (x - 1)}{x + 2}$
197299	Solve for E	E=sin(30 degrees )^2+tan(37 degrees )	$E = \sin^{2} (30 °) + \tan (37 °)$
197300	Solve the Inequality for x	1+3x>=4/5x-5(x+1)	$1 + 3 x \geq \frac{4}{5} x - 5 (x + 1)$